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Finding the Third Proportional to 301,335.19 and 455,890.78

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Solution

The third proportional to 301,335.19 and 455,890.78 is: 689,718.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,335.19 : 455,890.78 = 455,890.78 : x
  2. Step 2: Convert to fraction form
    301,335.19/455,890.78 = 455,890.78/x
  3. Step 3: Cross multiply
    301,335.19x = 455,890.78 × 455,890.78
  4. Step 4: Simplify right side
    301,335.19x = 207,836,404,428.74
  5. Step 5: Solve for x
    x = 207,836,404,428.74/301,335.19
  6. Step 6: Final answer
    x = 689,718.34

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.